Multiple Linear Regression - Estimated Regression Equation |
FindingFriends[t] = + 10.1709445126328 + 0.100818898434514Popularity[t] -0.0457479600331225KnowingPeople[t] + 0.0459202753566864Liked[t] -0.0882532612200294Celebrity[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | 10.1709445126328 | 0.92659 | 10.9768 | 0 | 0 |
Popularity | 0.100818898434514 | 0.073729 | 1.3674 | 0.173667 | 0.086834 |
KnowingPeople | -0.0457479600331225 | 0.056098 | -0.8155 | 0.41616 | 0.20808 |
Liked | 0.0459202753566864 | 0.087762 | 0.5232 | 0.60163 | 0.300815 |
Celebrity | -0.0882532612200294 | 0.145183 | -0.6079 | 0.544248 | 0.272124 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.142043863917955 |
R-squared | 0.0201764592767424 |
Adjusted R-squared | -0.00761995322604503 |
F-TEST (value) | 0.725865586960875 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 141 |
p-value | 0.57567568711713 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.80338023245963 |
Sum Squared Residuals | 458.557417058485 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 11.2016964810699 | -0.201696481069856 |
2 | 12 | 11.2126455576586 | 0.787354442341446 |
3 | 12 | 11.2018687963934 | 0.79813120360664 |
4 | 11 | 10.9873207316627 | 0.0126792683372818 |
5 | 11 | 10.9602187283661 | 0.0397812716338672 |
6 | 10 | 10.4425247070377 | -0.442524707037697 |
7 | 11 | 10.6116694423823 | 0.388330557617659 |
8 | 9 | 11.6948514342484 | -2.69485143424837 |
9 | 10 | 10.6739244973652 | -0.673924497365182 |
10 | 12 | 11.2711314702297 | 0.728868529770278 |
11 | 12 | 11.5595687454219 | 0.440431254578146 |
12 | 12 | 11.0178377091291 | 0.982162290870917 |
13 | 13 | 11.0717994952807 | 1.92820050471932 |
14 | 9 | 10.0652419643464 | -1.06524196434643 |
15 | 12 | 10.5682368418640 | 1.43176315813604 |
16 | 12 | 11.0551296226022 | 0.944870377397843 |
17 | 12 | 11.2111917747616 | 0.788808225238374 |
18 | 13 | 11.1536278063315 | 1.84637219366847 |
19 | 11 | 11.1107175069742 | -0.110717506974240 |
20 | 12 | 11.2129901883057 | 0.78700981169432 |
21 | 15 | 10.8181759963181 | 4.18182400368193 |
22 | 11 | 11.3439210660362 | -0.343921066036179 |
23 | 12 | 11.1469701733155 | 0.85302982668447 |
24 | 10 | 10.8992397857663 | -0.899239785766253 |
25 | 11 | 11.3301343287716 | -0.330134328771585 |
26 | 13 | 11.0635856691622 | 1.93641433083779 |
27 | 6 | 11.0092093472455 | -5.00920934724547 |
28 | 12 | 11.1688587888983 | 0.831141211101717 |
29 | 12 | 10.9652598007564 | 1.03474019924360 |
30 | 10 | 10.8981401711112 | -0.898140171111218 |
31 | 12 | 11.1704848871188 | 0.829515112881227 |
32 | 12 | 11.0271606874974 | 0.972839312502648 |
33 | 11 | 10.7637943192109 | 0.236205680789062 |
34 | 9 | 10.9544830394912 | -1.95448303949121 |
35 | 10 | 11.3834163912237 | -1.38341639122369 |
36 | 12 | 11.3468190942353 | 0.653180905764733 |
37 | 12 | 11.1654438147285 | 0.834556185271496 |
38 | 12 | 10.9548276701383 | 1.04517232986166 |
39 | 14 | 10.5451420190163 | 3.45485798098374 |
40 | 10 | 11.1927181333487 | -1.19271813334865 |
41 | 10 | 11.1299556699899 | -1.12995566998988 |
42 | 11 | 11.1232831441887 | -0.123283144188725 |
43 | 10 | 11.3394573071399 | -1.33945730713985 |
44 | 10 | 10.9325944239085 | -0.932594423908455 |
45 | 12 | 11.1559485210367 | 0.844051478963329 |
46 | 11 | 11.2569397347947 | -0.256939734794749 |
47 | 8 | 11.0427363007112 | -3.04273630071124 |
48 | 12 | 10.6152567318757 | 1.38474326812432 |
49 | 10 | 10.7194906044800 | -0.719490604479978 |
50 | 7 | 11.1250815577328 | -4.12508155773278 |
51 | 11 | 10.7436945795775 | 0.256305420422524 |
52 | 7 | 10.8619478722932 | -3.86194787229318 |
53 | 11 | 10.8185206269652 | 0.181479373034799 |
54 | 8 | 10.9417450869532 | -2.94174508695316 |
55 | 11 | 11.0095539778926 | -0.0095539778925989 |
56 | 12 | 10.7619959056669 | 1.23800409433311 |
57 | 8 | 11.1579192499043 | -3.15791924990429 |
58 | 14 | 11.1017391592531 | 2.8982608407469 |
59 | 14 | 10.5257315406771 | 3.47426845932294 |
60 | 11 | 11.2144344336078 | -0.214434433607842 |
61 | 12 | 11.1722737630681 | 0.827726236931937 |
62 | 14 | 11.0271606874974 | 2.97283931250265 |
63 | 9 | 11.2572843654419 | -2.25728436544188 |
64 | 13 | 11.1376471949473 | 1.86235280505274 |
65 | 8 | 11.0240903439747 | -3.0240903439747 |
66 | 11 | 10.9085627641345 | 0.0914372358654787 |
67 | 9 | 10.7347215870467 | -1.73472158704674 |
68 | 12 | 11.4244679095137 | 0.575532090486333 |
69 | 7 | 10.785165988823 | -3.785165988823 |
70 | 11 | 10.9797866292437 | 0.0202133707562597 |
71 | 12 | 11.1191735535343 | 0.880826446465711 |
72 | 11 | 10.9354924521075 | 0.0645075478924571 |
73 | 12 | 10.8299866495247 | 1.17001335047535 |
74 | 9 | 11.3801737323775 | -2.38017373237747 |
75 | 11 | 10.8927544680738 | 0.107245531926179 |
76 | 13 | 10.9087350794581 | 2.09126492054191 |
77 | 12 | 11.0825762565459 | 0.917423743454129 |
78 | 12 | 10.8131295687374 | 1.18687043126260 |
79 | 11 | 10.8646132176455 | 0.135386782354548 |
80 | 12 | 11.1948611775398 | 0.805138822460166 |
81 | 12 | 11.2569397347947 | 0.743060265205251 |
82 | 11 | 11.1984538222236 | -0.198453822223578 |
83 | 11 | 10.9634613872123 | 0.0365386127876514 |
84 | 8 | 10.6737426444469 | -2.67374264444686 |
85 | 9 | 11.0820593105752 | -2.08205931057518 |
86 | 12 | 11.0757463082063 | 0.924253691793688 |
87 | 13 | 10.8517029497838 | 2.14829705021616 |
88 | 12 | 11.2178494077776 | 0.782150592222378 |
89 | 6 | 11.0657340685438 | -5.06573406854379 |
90 | 12 | 11.1672422282726 | 0.832757771727443 |
91 | 11 | 10.6850363516827 | 0.314963648317259 |
92 | 13 | 11.1433828838222 | 1.85661711617781 |
93 | 11 | 11.1137878504969 | -0.113787850496892 |
94 | 12 | 10.8554625546007 | 1.14453744539925 |
95 | 10 | 10.9419174022767 | -0.941917402276723 |
96 | 10 | 10.7855106194701 | -0.785510619470127 |
97 | 11 | 11.1263534877114 | -0.126353487711377 |
98 | 11 | 11.0323137076879 | -0.0323137076879334 |
99 | 9 | 10.9136038365248 | -1.91360383652479 |
100 | 7 | 10.901555145281 | -3.901555145281 |
101 | 11 | 10.9783423839416 | 0.0216576160584226 |
102 | 12 | 11.1690311042218 | 0.830968895778153 |
103 | 12 | 10.9544830394912 | 1.04551696050879 |
104 | 15 | 10.5953388451605 | 4.40466115483945 |
105 | 11 | 11.0151173514440 | -0.0151173514439601 |
106 | 10 | 11.0187046409373 | -1.01870464093730 |
107 | 13 | 10.8500768515634 | 2.14992314843665 |
108 | 13 | 10.8533195104096 | 2.14668048959043 |
109 | 11 | 11.1690311042218 | -0.169031104221847 |
110 | 12 | 10.7619959056669 | 1.23800409433311 |
111 | 12 | 10.6974296735737 | 1.30257032642634 |
112 | 12 | 11.3079010825417 | 0.692098917458296 |
113 | 8 | 10.1304004027188 | -2.13040040271876 |
114 | 5 | 10.6613493225559 | -5.66134932255594 |
115 | 11 | 11.2113640900852 | -0.21136409008519 |
116 | 12 | 10.7969766420296 | 1.20302335797042 |
117 | 12 | 10.7271970222225 | 1.27280297777748 |
118 | 11 | 11.2314638297187 | -0.231463829718652 |
119 | 12 | 10.8373388990253 | 1.16266110097470 |
120 | 10 | 10.7856829347937 | -0.78568293479369 |
121 | 7 | 10.5162362469852 | -3.51623624698522 |
122 | 12 | 10.9636337025359 | 1.03636629746409 |
123 | 12 | 10.7982485720082 | 1.20175142799182 |
124 | 9 | 10.9290071344151 | -1.92900713441511 |
125 | 12 | 11.7079340174335 | 0.292065982566457 |
126 | 12 | 10.7544713408427 | 1.24552865915733 |
127 | 11 | 10.7180463591778 | 0.281953640822185 |
128 | 11 | 10.9654321160800 | 0.0345678839200346 |
129 | 12 | 11.1433828838222 | 0.856617116177813 |
130 | 12 | 10.7271970222225 | 1.27280297777748 |
131 | 11 | 10.9118054229807 | 0.0881945770192629 |
132 | 12 | 11.5391339127360 | 0.460866087263974 |
133 | 12 | 11.0334133223430 | 0.966586677657031 |
134 | 8 | 10.8870187791989 | -2.88701877919890 |
135 | 11 | 10.8959971269200 | 0.104002873079963 |
136 | 11 | 11.1928904486722 | -0.192890448672217 |
137 | 6 | 10.8906060686922 | -4.89060606869224 |
138 | 13 | 11.1733225477946 | 1.82667745220539 |
139 | 12 | 11.0095539778926 | 0.9904460221074 |
140 | 12 | 11.0425639853877 | 0.957436014612327 |
141 | 12 | 11.1722737630681 | 0.827726236931937 |
142 | 12 | 11.0458066442339 | 0.95419335576611 |
143 | 12 | 11.0301706634968 | 0.969829336503247 |
144 | 10 | 10.9072908341559 | -0.907290834155922 |
145 | 12 | 11.5062962205645 | 0.493703779435484 |
146 | 12 | 11.2512040459198 | 0.748795954080176 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.0919674854131228 | 0.183934970826246 | 0.908032514586877 |
9 | 0.0751755854506615 | 0.150351170901323 | 0.924824414549339 |
10 | 0.0364859219372154 | 0.0729718438744307 | 0.963514078062785 |
11 | 0.0167287242135186 | 0.0334574484270372 | 0.983271275786481 |
12 | 0.00820259365482063 | 0.0164051873096413 | 0.99179740634518 |
13 | 0.00366075445231982 | 0.00732150890463965 | 0.99633924554768 |
14 | 0.0201748429089669 | 0.0403496858179338 | 0.979825157091033 |
15 | 0.0247359049522437 | 0.0494718099044875 | 0.975264095047756 |
16 | 0.0140070051540866 | 0.0280140103081732 | 0.985992994845913 |
17 | 0.00709147700938566 | 0.0141829540187713 | 0.992908522990614 |
18 | 0.00380368808735597 | 0.00760737617471195 | 0.996196311912644 |
19 | 0.00316202798387758 | 0.00632405596775517 | 0.996837972016122 |
20 | 0.00182991562593755 | 0.00365983125187511 | 0.998170084374062 |
21 | 0.0862433111644597 | 0.172486622328919 | 0.91375668883554 |
22 | 0.0595048745608822 | 0.119009749121764 | 0.940495125439118 |
23 | 0.0398471877098824 | 0.0796943754197648 | 0.960152812290118 |
24 | 0.0412655056307178 | 0.0825310112614356 | 0.958734494369282 |
25 | 0.0322597921298826 | 0.0645195842597653 | 0.967740207870117 |
26 | 0.0244795095324369 | 0.0489590190648738 | 0.975520490467563 |
27 | 0.342067634133476 | 0.684135268266952 | 0.657932365866524 |
28 | 0.289413157480203 | 0.578826314960405 | 0.710586842519797 |
29 | 0.246313713366817 | 0.492627426733635 | 0.753686286633183 |
30 | 0.218391997347098 | 0.436783994694197 | 0.781608002652902 |
31 | 0.176940145659200 | 0.353880291318400 | 0.8230598543408 |
32 | 0.142050250490071 | 0.284100500980141 | 0.85794974950993 |
33 | 0.109800936563802 | 0.219601873127605 | 0.890199063436198 |
34 | 0.128011056169752 | 0.256022112339504 | 0.871988943830248 |
35 | 0.120239625694544 | 0.240479251389087 | 0.879760374305456 |
36 | 0.098539370078695 | 0.19707874015739 | 0.901460629921305 |
37 | 0.0817738093345542 | 0.163547618669108 | 0.918226190665446 |
38 | 0.0664524726834492 | 0.132904945366898 | 0.93354752731655 |
39 | 0.127525760878865 | 0.255051521757730 | 0.872474239121135 |
40 | 0.116701016343749 | 0.233402032687498 | 0.883298983656251 |
41 | 0.104473010043853 | 0.208946020087706 | 0.895526989956147 |
42 | 0.08102397959612 | 0.16204795919224 | 0.91897602040388 |
43 | 0.073724772073222 | 0.147449544146444 | 0.926275227926778 |
44 | 0.0624560398690059 | 0.124912079738012 | 0.937543960130994 |
45 | 0.0502836183328673 | 0.100567236665735 | 0.949716381667133 |
46 | 0.03760792199064 | 0.07521584398128 | 0.96239207800936 |
47 | 0.0634974834710746 | 0.126994966942149 | 0.936502516528925 |
48 | 0.054971388364802 | 0.109942776729604 | 0.945028611635198 |
49 | 0.0475311131322985 | 0.095062226264597 | 0.952468886867702 |
50 | 0.140682874019765 | 0.281365748039530 | 0.859317125980235 |
51 | 0.113580697371040 | 0.227161394742080 | 0.88641930262896 |
52 | 0.281892768217913 | 0.563785536435825 | 0.718107231782087 |
53 | 0.240826728374009 | 0.481653456748018 | 0.759173271625991 |
54 | 0.305921202501871 | 0.611842405003741 | 0.69407879749813 |
55 | 0.262917461913029 | 0.525834923826059 | 0.73708253808697 |
56 | 0.241081708049891 | 0.482163416099782 | 0.758918291950109 |
57 | 0.315299814926633 | 0.630599629853265 | 0.684700185073367 |
58 | 0.416200775388789 | 0.832401550777578 | 0.583799224611211 |
59 | 0.546785721455997 | 0.906428557088006 | 0.453214278544003 |
60 | 0.49832168570349 | 0.99664337140698 | 0.50167831429651 |
61 | 0.457908812162321 | 0.915817624324641 | 0.542091187837679 |
62 | 0.533272834780053 | 0.933454330439893 | 0.466727165219947 |
63 | 0.55697188861851 | 0.88605622276298 | 0.44302811138149 |
64 | 0.559091203399351 | 0.881817593201298 | 0.440908796600649 |
65 | 0.641731734484134 | 0.716536531031731 | 0.358268265515866 |
66 | 0.59540731646458 | 0.80918536707084 | 0.40459268353542 |
67 | 0.592934380947382 | 0.814131238105236 | 0.407065619052618 |
68 | 0.56123485154538 | 0.87753029690924 | 0.43876514845462 |
69 | 0.71433598013998 | 0.57132803972004 | 0.28566401986002 |
70 | 0.67176213064903 | 0.65647573870194 | 0.32823786935097 |
71 | 0.637929641527045 | 0.72414071694591 | 0.362070358472955 |
72 | 0.591984738399252 | 0.816030523201495 | 0.408015261600748 |
73 | 0.564248161566784 | 0.871503676866432 | 0.435751838433216 |
74 | 0.609863089088958 | 0.780273821822084 | 0.390136910911042 |
75 | 0.563873233351463 | 0.872253533297073 | 0.436126766648537 |
76 | 0.581531952882251 | 0.836936094235498 | 0.418468047117749 |
77 | 0.547187015146868 | 0.905625969706263 | 0.452812984853132 |
78 | 0.52806039695727 | 0.94387920608546 | 0.47193960304273 |
79 | 0.479698976677853 | 0.959397953355706 | 0.520301023322147 |
80 | 0.441953761666891 | 0.883907523333782 | 0.558046238333109 |
81 | 0.402195415392598 | 0.804390830785195 | 0.597804584607402 |
82 | 0.361019260807661 | 0.722038521615322 | 0.638980739192339 |
83 | 0.316272789512975 | 0.632545579025951 | 0.683727210487024 |
84 | 0.362160114654175 | 0.72432022930835 | 0.637839885345825 |
85 | 0.374414746733095 | 0.74882949346619 | 0.625585253266905 |
86 | 0.338072587251130 | 0.676145174502259 | 0.66192741274887 |
87 | 0.352014109757006 | 0.704028219514012 | 0.647985890242994 |
88 | 0.31608268142868 | 0.63216536285736 | 0.68391731857132 |
89 | 0.714651113877129 | 0.570697772245742 | 0.285348886122871 |
90 | 0.676295254778605 | 0.64740949044279 | 0.323704745221395 |
91 | 0.638636626405152 | 0.722726747189696 | 0.361363373594848 |
92 | 0.629287822435034 | 0.741424355129933 | 0.370712177564966 |
93 | 0.580148827434237 | 0.839702345131526 | 0.419851172565763 |
94 | 0.559020555378522 | 0.881958889242956 | 0.440979444621478 |
95 | 0.519340034663897 | 0.961319930672207 | 0.480659965336103 |
96 | 0.480793178984582 | 0.961586357969163 | 0.519206821015418 |
97 | 0.429583250014853 | 0.859166500029706 | 0.570416749985147 |
98 | 0.384415059160387 | 0.768830118320775 | 0.615584940839613 |
99 | 0.39836325547761 | 0.79672651095522 | 0.60163674452239 |
100 | 0.548230679547204 | 0.903538640905592 | 0.451769320452796 |
101 | 0.494957118796237 | 0.989914237592475 | 0.505042881203763 |
102 | 0.455957102869968 | 0.911914205739935 | 0.544042897130032 |
103 | 0.424342302235027 | 0.848684604470053 | 0.575657697764973 |
104 | 0.774256402943643 | 0.451487194112714 | 0.225743597056357 |
105 | 0.749665415689497 | 0.500669168621006 | 0.250334584310503 |
106 | 0.746705255703438 | 0.506589488593123 | 0.253294744296562 |
107 | 0.757682279540764 | 0.484635440918471 | 0.242317720459236 |
108 | 0.767530596129791 | 0.464938807740419 | 0.232469403870209 |
109 | 0.721224965356999 | 0.557550069286002 | 0.278775034643001 |
110 | 0.713971097313712 | 0.572057805372577 | 0.286028902686288 |
111 | 0.718399515086487 | 0.563200969827025 | 0.281600484913513 |
112 | 0.669455829180564 | 0.661088341638871 | 0.330544170819436 |
113 | 0.794296668578292 | 0.411406662843415 | 0.205703331421708 |
114 | 0.977623932438222 | 0.0447521351235555 | 0.0223760675617778 |
115 | 0.968603783975398 | 0.0627924320492042 | 0.0313962160246021 |
116 | 0.97778803663627 | 0.0444239267274582 | 0.0222119633637291 |
117 | 0.972706276336176 | 0.0545874473276489 | 0.0272937236638244 |
118 | 0.97710977353966 | 0.0457804529206819 | 0.0228902264603409 |
119 | 0.96625234490422 | 0.0674953101915601 | 0.0337476550957800 |
120 | 0.955922428452405 | 0.0881551430951895 | 0.0440775715475948 |
121 | 0.986790256520304 | 0.0264194869593910 | 0.0132097434796955 |
122 | 0.979268776408945 | 0.0414624471821097 | 0.0207312235910549 |
123 | 0.967841319982552 | 0.0643173600348971 | 0.0321586800174485 |
124 | 0.991655186137832 | 0.0166896277243359 | 0.00834481386216794 |
125 | 0.987871172961734 | 0.0242576540765327 | 0.0121288270382663 |
126 | 0.995955877443234 | 0.0080882451135311 | 0.00404412255676555 |
127 | 0.996254233284033 | 0.00749153343193462 | 0.00374576671596731 |
128 | 0.992674334070865 | 0.0146513318582708 | 0.0073256659291354 |
129 | 0.991844420347716 | 0.016311159304568 | 0.008155579652284 |
130 | 0.993321285260185 | 0.0133574294796295 | 0.00667871473981474 |
131 | 0.987423489524193 | 0.0251530209516149 | 0.0125765104758074 |
132 | 0.987986354653389 | 0.0240272906932227 | 0.0120136453466113 |
133 | 0.990955383323317 | 0.0180892333533657 | 0.00904461667668284 |
134 | 0.986975938818012 | 0.026048122363976 | 0.013024061181988 |
135 | 0.973935077077702 | 0.0521298458445953 | 0.0260649229222977 |
136 | 0.945293246826528 | 0.109413506346944 | 0.0547067531734722 |
137 | 0.996164776465406 | 0.00767044706918774 | 0.00383522353459387 |
138 | 0.983743295812945 | 0.0325134083741105 | 0.0162567041870552 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 7 | 0.0534351145038168 | NOK |
5% type I error level | 29 | 0.221374045801527 | NOK |
10% type I error level | 41 | 0.312977099236641 | NOK |